What is the factors for $x^3 + 3x^2 - x - 3$ ?

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Answer 1 · 2015-05-02T12:26:58

$x^3 + 3x^2 - x - 3$

We can make groups of 2 terms like this:

$(x^3 + 3x^2) - (x + 3)$

$= x^2(x + 3) -1(x+3)$

$=(x+3)$ is common to both the terms

$=(x+3)(x^2 - 1)$

$=(x+3)(x^2 - 1^2)$

We know that $color(blue)(a^2 - b^2 = (a+b)(a-b)$

$= color(green)((x + 3)(x+1)(x - 1)$

$x+3 ; x+1; x-1$ are the factors of $x^3 + 3x^2 - x - 3$

What is the factors for x^3 + 3x^2 - x - 3x^3 + 3x^2 - x - 3?